267993 has 12 divisors (see below), whose sum is σ = 422448. Its totient is φ = 162360.

The previous prime is 267961. The next prime is 268003. The reversal of 267993 is 399762.

It is not a de Polignac number, because 267993 - 2⁵ = 267961 is a prime.

267993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (267913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 1452.

It is an arithmetic number, because the mean of its divisors is an integer number (35204).

2²⁶⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

267993 is a deficient number, since it is larger than the sum of its proper divisors (154455).

267993 is a wasteful number, since it uses less digits than its factorization.

267993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2721 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 267993 is about 517.6804033378. The cubic root of 267993 is about 64.4724959352.

Subtracting 267993 from its reverse (399762), we obtain a square (131769 = 363²).

It can be divided in two parts, 2679 and 93, that added together give a palindrome (2772).

The spelling of 267993 in words is "two hundred sixty-seven thousand, nine hundred ninety-three".